Surjunctivity and topological rigidity of algebraic dynamical systems
Sign Up to like & getrecommendations! Published in 2017 at "Ergodic Theory and Dynamical Systems"
DOI: 10.1017/etds.2017.41
Abstract: Let $X$ be a compact metrizable group and let $\unicode[STIX]{x1D6E4}$ be a countable group acting on $X$ by continuous group automorphisms. We give sufficient conditions under which the dynamical system $(X,\unicode[STIX]{x1D6E4})$ is surjunctive, i.e. every… read more here.
Keywords: stix x1d6e4; topological rigidity; systems surjunctivity; dynamical systems ... See more keywords
A transfer-operator-based relation between Laplace eigenfunctions and zeros of Selberg zeta functions
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DOI: 10.1017/etds.2018.51
Abstract: Over the last few years Pohl (partly jointly with coauthors) has developed dual ‘slow/fast’ transfer operator approaches to automorphic functions, resonances, and Selberg zeta functions for a certain class of hyperbolic surfaces $\unicode[STIX]{x1D6E4}\backslash \mathbb{H}$ with… read more here.
Keywords: stix x1d6e4; zeta functions; selberg zeta; stix ... See more keywords
A quantitative assessment of viscous asymmetric vortex pair interactions
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DOI: 10.1017/jfm.2017.527
Abstract: The interactions of two like-signed vortices in viscous fluid are investigated using two-dimensional numerical simulations performed across a range of vortex strength ratios, $\unicode[STIX]{x1D6EC}=\unicode[STIX]{x1D6E4}_{1}/\unicode[STIX]{x1D6E4}_{2}\leqslant 1$ , corresponding to vortices of circulation, $\unicode[STIX]{x1D6E4}_{i}$ , with differing… read more here.
Keywords: stix x1d6e4; stix x1d714; stix; vortex ... See more keywords
Topology of interacting coiled vortex rings
Sign Up to like & getrecommendations! Published in 2018 at "Journal of Fluid Mechanics"
DOI: 10.1017/jfm.2018.665
Abstract: Pairs of nested vortex rings, one with coils, are evolved numerically to compare their topological numbers to those of recent experiments reported in Scheeler et al. (Science, vol. 357, 2017, pp. 487–491). Included are the… read more here.
Keywords: stix x1d6e4; helicities mathcal; topology; topology interacting ... See more keywords
A fate-alternating transitional regime in contracting liquid filaments
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DOI: 10.1017/jfm.2018.855
Abstract: The fate of a contracting liquid filament depends on the Ohnesorge number ( $Oh$ ), the initial aspect ratio ( $\unicode[STIX]{x1D6E4}$ ) and surface perturbation. Generally, it is believed that there exists a critical aspect… read more here.
Keywords: stix x1d6e4; contracting liquid; fate alternating; transitional regime ... See more keywords
WEAK HAAGERUP PROPERTY OF $W^{\ast }$ -CROSSED PRODUCTS
Sign Up to like & getrecommendations! Published in 2017 at "Bulletin of the Australian Mathematical Society"
DOI: 10.1017/s0004972717000600
Abstract: We show that if $M\,\bar{\rtimes }_{\unicode[STIX]{x1D6FC}}\,\unicode[STIX]{x1D6E4}$ has the weak Haagerup property, then both $M$ and $\unicode[STIX]{x1D6E4}$ have the weak Haagerup property, and if $\unicode[STIX]{x1D6E4}$ is an amenable group, then the weak Haagerup property of $M$… read more here.
Keywords: weak haagerup; stix x1d6e4; unicode stix; haagerup property ... See more keywords
Shimura varieties at level $\unicode[STIX]{x1D6E4}_{1}(p^{\infty })$ and Galois representations
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DOI: 10.1112/s0010437x20007149
Abstract: We show that the compactly supported cohomology of certain $\text{U}(n,n)$- or $\text{Sp}(2n)$-Shimura varieties with $\unicode[STIX]{x1D6E4}_{1}(p^{\infty })$-level vanishes above the middle degree. The only assumption is that we work over a CM field $F$ in which… read more here.
Keywords: x1d6e4 infty; shimura varieties; stix x1d6e4; unicode stix ... See more keywords